4,638 research outputs found
c-theorem of the entanglement entropy
We holographically investigate the renormalization group flow in a
two-dimensional conformal field theory deformed by a relevant operator. If the
relevant operator allows another fixed point, the UV conformal field theory
smoothly flows to a new IR conformal field theory. From the holographic point
of view, such a renormalization group flow can be realized as a dual geometry
interpolating two different AdS boundaries. On this interpolating geometry, we
investigate how the c-function of the entanglement entropy behaves along the RG
flow analyt- ically and numerically, which reproduces the expected central
charges of UV and IR. We also show that the c-function monotonically decreases
from UV to IR without any phase transition.Comment: 24 pages, 8 figure
Quantum correlation in quark-gluon medium
We study thermodynamics and quantum correlations of the string cloud geometry
whose field theory dual is the quark-gluon medium. We found the novel
universality of the entanglement entropy first law in the high quark density
limit. We also showed that a correlation function generally decreases as the
entanglement entropy of the background medium increases due to the screening
effect of the background. We study the UV and IR effects of the medium on phase
transition behaviour observed in the holographic mutual information using both
perturbative and numerical computations. Moreover, by numerical computation, we
show that in the IR region the critical length obtained from the mutual
information behaves similar to the correlation length of the two-point
function.Comment: 18 pages, 2 figures, reference added, minor change
Fermi Surface Spin Texture and Topological Superconductivity in Spin-Orbit Free Non-Collinear Antiferromagnets
We explore the relationship among the magnetic ordering in real space, the
resulting spin texture on the Fermi surface, and the related superconducting
gap structure in non-collinear antiferromagnetic metals without spin-orbit
coupling. Via a perturbative approach, we show that a non-collinear magnetic
ordering in a metal can generate a momentum-dependent spin texture on its Fermi
surface, even in the absence of spin-orbit coupling, if the metal has more than
three sublattices in its magnetic unit cell. Thus, our theory naturally extends
the idea of altermagnetism to non-collinear spin structures. When
superconductivity is developed in a magnetic metal, as the gap-opening
condition is strongly constrained by the spin texture, the nodal structure of
the superconducting state is also enforced by the magnetism-induced spin
texture. Taking the non-collinear antiferromagnet on the kagome lattice as a
representative example, we demonstrate how the Fermi surface spin texture
induced by noncollinear antiferromagnetism naturally leads to odd-parity
spin-triplet superconductivity with nontrivial topological properties
Holography Transformer
We have constructed a generative artificial intelligence model to predict
dual gravity solutions when provided with the input of holographic entanglement
entropy. The model utilized in our study is based on the transformer algorithm,
widely used for various natural language tasks including text generation,
summarization, and translation. This algorithm possesses the ability to
understand the meanings of input and output sequences by utilizing multi-head
attention layers. In the training procedure, we generated pairs of examples
consisting of holographic entanglement entropy data and their corresponding
metric solutions. Once the model has completed the training process, it
demonstrates the ability to generate predictions regarding a dual geometry that
corresponds to the given holographic entanglement entropy. Subsequently, we
proceed to validate the dual geometry to confirm its correspondence with the
holographic entanglement entropy data.Comment: 14 pages, 11 figures, add references (version 2), add some comment
(version 3
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